60ed6: Difference between revisions
+subsets and supersets; +see also |
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== Theory == | == Theory == | ||
60ed6 can be viewed as [[23edo]] with the [[ | 60ed6 can be viewed as [[23edo]] with the [[octave]] being [[stretched and compressed tuning|compressed]] by 10.9 cents, and with the 6th harmonic being [[just]], instead of the octave being just. | ||
23edo's [[harmonic]]s [[3/1|3]], [[5/1|5]], [[7/1|7]] and [[11/1|11]] are all more than 20 cents away from just, so they exhibit very little [[consonance]]. 60ed6 improves upon all of their tunings, bringing all of them within 16 cents of just, and bringing 3, 5 and 7 within 11 cents of just. This dramatically increases the number of consonant intervals and chords available in the tuning. | 23edo's [[harmonic]]s [[3/1|3]], [[5/1|5]], [[7/1|7]] and [[11/1|11]] are all more than 20 cents away from just, so they exhibit very little [[consonance]]. 60ed6 improves upon all of their tunings, bringing all of them within 16 cents of just, and bringing 3, 5 and 7 within 11 cents of just. This dramatically increases the number of consonant intervals and chords available in the tuning. | ||